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Differentiating matrices for arbitrarily spaced grid points
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Lakin, W. D. |
| Copyright Year | 1985 |
| Description | Differentiating matrices allow the numerical differentiation of functions defined at points of a discrete grid. A type of differentiating matrix based on local approximation on a sequence of sliding subgrids is considered. Previous derivations of this type of matrix have been restricted to grids with uniformly spaced points, and the resulting derivative approximations have lacked precision, especially at endpoints. The new formulation allows grids which have arbitrarily space points. It is shown that high accuracy can be achieved through use of differentiating matrices on non-uniform grids which include near-boundary points. Use of the differentiating matrix as an operator to solve eigenvalue problems involving ordinary differential equations is also considered. |
| File Size | 666795 |
| Page Count | 25 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19850013741 |
| Archival Resource Key | ark:/13960/t2f817f64 |
| Language | English |
| Publisher Date | 1985-01-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Dynamic Structural Analysis Approximation Operators Mathematics Differential Equations Rotating Bodies Eigenvalues Computational Grids Cantilever Beams Matrices Mathematics Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
